A truck accelerating at 0.0083 meters/second2 covers a distance of 5.8 × 104 meters. If the truck's mass is 7,000 kilograms, what is the work done to reach this distance?
3369800
WRONG
To find the work done, we can use the formula:
Work = Force × Distance
First, let's calculate the force acting on the truck using Newton's second law of motion:
Force = mass × acceleration
Given:
Mass of the truck (m) = 7,000 kilograms
Acceleration (a) = 0.0083 meters/second²
Substituting the values, we get:
Force = 7,000 kg × 0.0083 meters/second²
Force = 58.1 Newtons
Now, we can calculate the work done by multiplying the force by the distance travelled:
Work = Force × Distance
Given:
Distance (d) = 5.8 × 10^4 meters
Substituting the values, we get:
Work = 58.1 N × 5.8 × 10^4 meters
Work = 3.36 × 10^6 joules
Therefore, the work done to reach a distance of 5.8 × 10^4 meters is 3.36 × 10^6 joules.
F = m*a = 7000kg * 9.8N/kg = 68,600 N.
W = F*d